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Finding the Fourth Proportional to 85,472, 117,951.07 and 47,230.48

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Solution

The fourth proportional to 85,472, 117,951.07 and 47,230.48 is: 65,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,472 : 117,951.07 = 47,230.48 : x
  2. Step 2: Convert to fraction form
    85,472/117,951.07 = 47,230.48/x
  3. Step 3: Cross multiply
    85,472x = 117,951.07 × 47,230.48
  4. Step 4: Simplify right side
    85,472x = 5,570,885,652.61
  5. Step 5: Solve for x
    x = 5,570,885,652.61/85,472
  6. Step 6: Final answer
    x = 65,177.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.